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Communications in Statistics. Stochastic Models Volume 9, 1993 - Issue 2
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Original Articles

Perturbation analysis of the M/M/1 queue in a markovian environment via the matrix-geometric method

Cheng-Shang Chang IBM Research Division, T.J.Watson Research Center, P.O. Box 704, Yorktown Heights, NY, 10598
&
Randolph Nelson IBM Research Division, T.J.Watson Research Center, P.O. Box 704, Yorktown Heights, NY, 10598
Pages 233-246 | Received 10 Aug 1991, Accepted 15 Sep 1992, Published online: 21 Mar 2007

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Antonis Economou. (2004) Stationary Distributions of Discrete-Time Markov Chains in Random Environment: Exact Computations and Bounds. Stochastic Models 20:1, pages 103-127.
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Articles from other publishers (11)

Quan-Lin LiQuan-Lin Li. 2010. Constructive Computation in Stochastic Models with Applications. Constructive Computation in Stochastic Models with Applications 574 651 .
Andrew M. Ross. (2009) Distribution sensitivity in a highway flow model. Applied Stochastic Models in Business and Industry 25:6, pages 769-786.
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Antonis Economou. (2016) Generalized product-form stationary distributions for Markov chains in random environments with queueing applications. Advances in Applied Probability 37:1, pages 185-211.
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Eitan Altman, Konstantin E. Avrachenkov & Rudesindo Núñez-Queija. (2016) Perturbation analysis for denumerable Markov chains with application to queueing models. Advances in Applied Probability 36:3, pages 839-853.
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Søren Asmussen & Colm O'cinneide. (2002) On the Tail of the Waiting Time in a Markov-Modulated M/G/1 Queue. Operations Research 50:3, pages 559-565.
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W.A. Massey & R. Srinivasan. (1997) A packet delay analysis for cellular digital packet data. IEEE Journal on Selected Areas in Communications 15:7, pages 1364-1372.
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Liyi Dai & Xiuli Chao. (1996) Comparing single-server loss systems in random environment. IEEE Transactions on Automatic Control 41:7, pages 1079-1083.
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G. Falin. (2016) A heterogeneous blocking system in a random environment. Journal of Applied Probability 33:1, pages 211-216.
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G. Falin. (2016) A heterogeneous blocking system in a random environment. Journal of Applied Probability 33:01, pages 211-216.
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Søren Asmussen, Andreas Frey, Tomasz Rolski & Volker Schmidt. (2014) Does Markov-Modulation Increase the Risk?. ASTIN Bulletin 25:1, pages 49-66.
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Guy Latouche & Paul J. Schweitzer. 1995. Computations with Markov Chains. Computations with Markov Chains 39 48 .

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